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The generalized Kuhn model of linear viscoelasticity

The generalized Kuhn model of linear viscoelasticity We propose a generalization of the Kuhn model of linear viscoelasticity. This generalization, which has four material parameters, is able to provide a near frequency independent response over a wide range of frequencies. It is useful for highly dissipative materials such as asphalt concrete. It is derived by generalizing Lubliner and Panoskaltsis’s modified Kuhn model, but we also show that it is closely related to fractional derivative models. We show that the model admits a rheological approximation, that is, an approximation by classical springs and dashpots. The model and rheological representation are compared to experimental data. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Mechanics of Time-Dependent Materials Springer Journals

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References (5)

Publisher
Springer Journals
Copyright
Copyright © 2008 by Springer Science+Business Media, B. V.
Subject
Physics; Characterization and Evaluation of Materials; Continuum Mechanics and Mechanics of Materials; Polymer Sciences ; Mechanics
ISSN
1385-2000
eISSN
1573-2738
DOI
10.1007/s11043-007-9044-3
Publisher site
See Article on Publisher Site

Abstract

We propose a generalization of the Kuhn model of linear viscoelasticity. This generalization, which has four material parameters, is able to provide a near frequency independent response over a wide range of frequencies. It is useful for highly dissipative materials such as asphalt concrete. It is derived by generalizing Lubliner and Panoskaltsis’s modified Kuhn model, but we also show that it is closely related to fractional derivative models. We show that the model admits a rheological approximation, that is, an approximation by classical springs and dashpots. The model and rheological representation are compared to experimental data.

Journal

Mechanics of Time-Dependent MaterialsSpringer Journals

Published: Dec 1, 2007

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